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2017

Does Anisotropic "Inflation" Produce a Small Statistical Anisotropy?

Fujita, Tomohiro, Obata, Ippei

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Anisotropic inflation is an interesting model with an U(1) gauge field and it predicts the statistical anisotropy of the curvature perturbation characterized by a parameter $g_*$.

However, we find that the background gauge field does not follow the classical attractor solution due to the stochastic effect.
We develop the stochastic formalism of a vector field and solve Langevin and Fokker-Planck equations.
It is shown that this model is excluded by the CMB constraint $g_*\le 10^{-2}$ with a high probability about $99.999\%$.

Does Anisotropic "Inflation" Produce a Small Statistical Anisotropy? · Around

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